1 10 19 https://urss.warwick.ac.uk/files/original/898367e798b9ae5aaed708bd37d78039.pdf a46bcd30b050493a4ece918f5d03923f Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Poster An academic poster Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Scheme Theory of Curves and Quadratic Forms Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Yorgos Kontoyiannis Date A point or period of time associated with an event in the lifecycle of the resource 2023 Geometry Mathematics Schemes Yorgos Kontoyiannis https://urss.warwick.ac.uk/files/original/489977e99db0bedc6abbecda8c479779.pdf 4f41d64dd43ae80773557c7e4d18cbd5 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Paper An academic paper Abstract The abstract of the paper It is hypothesised that both cancer cell growth and chemotherapy drug tolerance can be dependent on the circadian rhythm, causing differences in treatment efficiency at different times of the day. Chronotherapy aims to exploit this dependency to provide an optimal treatment plan for patients. This plan seeks to maximise the elimination of cancer cells while minimising drug toxicity resulting from chemotherapy. This paper aims to extend previous works and provide analyses of optimal solutions for various cancer treatment models, including scenarios in which growth is partially coupled with the circadian rhythm, cases where drugs target growth, and models that account for delayed drug effects. Using Pontryagin’s Minimum Principle (PMP), we found the switching function of each model that decides the optimal time period to apply or stop the drugs. In the first two models, we noted the aperiodic switching between full and no drugs in optimal solutions and explored the nature of the switching zones. While the optimal solution for the last case is complex, it is proven to be bang-bang and can be reduced to a simpler growth model using the Pseudo-Steady State Hypothesis (PSSH) for sufficiently fast drug absorption speeds. Furthermore, we presented the backward integration method to analyse the nature of optimal solutions. The exploration of optimal solutions provides a better understanding of optimal treatment plans for chronotherapy models and offers insights into potential future analyses of more complex and clinically applicable models. Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Optimal Solutions of Chronotherapy Models Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Xingyu (Steve) Wu Date A point or period of time associated with an event in the lifecycle of the resource 2023 Chronotherapy Mathematics Non-autonomous Dynamical Systems Optimal Control Xingyu (Steve) Wu https://urss.warwick.ac.uk/files/original/4e00b98f5375b46354642424f67003a4.pdf fb5167eade77a15ce30341c148f8a25d Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Poster An academic poster Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource On The Bounce: Mathematical Modelling of a Bouncing Fluid Droplet Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource William Gillow Date A point or period of time associated with an event in the lifecycle of the resource 2023 Fluid Dynamics Bouncing Droplets Python Mathematics William Gillow https://urss.warwick.ac.uk/files/original/39b96ceeb5688bd4219a766a58933719.pdf 7e74a749bd312e33dd3431d399da5dd2 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Presentation Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Clique Subdivisions in Dense Graphs with No Bipartite Holes Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Teodor Petrov Date A point or period of time associated with an event in the lifecycle of the resource 2023 bipartite holes clique subdivisions dense graphs Mantel’s theorem Mathematics Teodor Petrov https://urss.warwick.ac.uk/files/original/100f72ea5d4be0016cfdc58335260fd6.pdf 5bf33ba1e398024fb1ef88316da7f706 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Poster An academic poster Meta Tags Meta tags Mathematics, Stochastic Differential Equations, Proton Beam Therapy Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Richard Fekete Title A name given to the resource MONTE CARLO SIMULATION OF SDEs ASSOCIATED WITH PROTON BEAM THERAPY Subject The topic of the resource Mathematics Date A point or period of time associated with an event in the lifecycle of the resource 2024 Mathematics Proton Beam Therapy Stochastic Differential Equations https://urss.warwick.ac.uk/files/original/9950bf4d7c427222504d9179ead1e12d.pdf 04f428011b4b46eefc1883dbd282f217 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Poster An academic poster Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Statistics of Galaxy Clusters in Large N-Body Simulations Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Muhammad Mukhtar Date A point or period of time associated with an event in the lifecycle of the resource 2023 galaxy clusters Mathematics Muhammad Mukhtar Sheth-Tormen approximation simulation https://urss.warwick.ac.uk/files/original/d1d0ef88d24aaf6ab25bd424e4828081.pdf 3e4bbac1c60777a54ecc4e72e0eda526 Academic Paper An academic paper Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Analysis of the Transformer Architecture Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Laura Harkins Date A point or period of time associated with an event in the lifecycle of the resource 2023 Laura Harkins Mathematics neural networks transformer architecture https://urss.warwick.ac.uk/files/original/c298d8e6230c1a686f9c980af9a21221.pdf 67a7a1b3e324c7ce36466e291df7e641 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Paper An academic paper Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource The Fundamental Groupoid: A Categorical Approach to the Fundamental Group and the Seifert-Van Kampen Theorem Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Jean-Paul Schemeil Date A point or period of time associated with an event in the lifecycle of the resource 2023 Algebraic Topology Category Theory Jean-Paul Schemeil Mathematics https://urss.warwick.ac.uk/files/original/c6d4b4273980d2554fb6d889ce684fd2.pdf e3bfc4e4aae689d529203a19fbcdc104 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Paper An academic paper Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource On Base Sizes for Actions of Projective Special Linear Groups Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Jack Walsh Date A point or period of time associated with an event in the lifecycle of the resource 2023 computational group theory finite group theory group theory Jack Walsh Mathematics https://urss.warwick.ac.uk/files/original/a679fa2a218377b5abc38721fa7433ac.pdf 1b03331be23c1ace167d1e17906e3ca9 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Poster An academic poster Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Lines on Non-Singular Cubic Surfaces Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Jack Lucas Date A point or period of time associated with an event in the lifecycle of the resource 2023 Algebraic Geometry Tag Algebraic Surfaces Intersection Theory Tag Jack Lucas Mathematics